Finding the Third Proportional to 1,405.78 and 2,002.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.78 : 2,002.55 = 2,002.55 : x
2. Step 2: Convert to fraction form
   1,405.78/2,002.55 = 2,002.55/x
3. Step 3: Cross multiply
   1,405.78x = 2,002.55 × 2,002.55
4. Step 4: Simplify right side
   1,405.78x = 4,010,193.99
5. Step 5: Solve for x
   x = 4,010,193.99/1,405.78
6. Step 6: Final answer
   x = 2,852.64